Using the given points and line, determine the slope of the line. (1, 2) and (2, 1)

Solution:

The slope of the line passing through two points (x₁,y₁) and (x₂,y₂) is given by

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Now, the slope of the line passing through the points (1,2) and (2,1) is given by

m = (1 - 2) / (2 - 1)

m = (-1) / 1

m = -1 

Therefore, the slope of the line is -1.

Example:  Using the given points and line, determine the slope of the line. (3, 2) and (2, 3)

Solution:

The slope of the line passing through two points (x₁,y₁) and (x₂,y₂) is given by

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Now, the slope of the line passing through the points (3,2) and (2,3) is given by

m = (3 - 2) / (2 - 3)

m = 1 / (-1)

m = -1 

Therefore, the slope of the line is -1.

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Using the given points and line, determine the slope of the line. (1, 2) and (2, 1)

Summary:

The slope of a line that passes through the points (1,2) and (2,1) is -1.